Answer:
-12a³b²c ( 2bc² + 7a)
Step-by-step explanation:
To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,
-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c
- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c
The common elements are -2, 2, 3, a³, b², c
The product of the common elements
= -12a³b²c
Hence, factorizing
-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)
Answer:
12 million dollars.
Step-by-step explanation:
Let the sales in the first year be x million .
So the sales in the second year were x + 4 million, in the third year were 3(x + 4) and this is 48 million dollars.
So we have the equation 3(x + 4) = 48
3x + 12 = 48
3x = 36
x = 12 million dollars.
Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement:
.
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement:
.
Reason: SSS criterion for congruence.
5.Statement:
.
Reason: Given .
6.Statement:
.
Reason: By definition of parallelogram.
7.Statement:
.
Reason: Alternate Interior Angles Theorem.